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Finding the Fourth Proportional to 1,046.29, 1,569.19 and 352.78

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Solution

The fourth proportional to 1,046.29, 1,569.19 and 352.78 is: 529.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.29 : 1,569.19 = 352.78 : x
  2. Step 2: Convert to fraction form
    1,046.29/1,569.19 = 352.78/x
  3. Step 3: Cross multiply
    1,046.29x = 1,569.19 × 352.78
  4. Step 4: Simplify right side
    1,046.29x = 553,578.85
  5. Step 5: Solve for x
    x = 553,578.85/1,046.29
  6. Step 6: Final answer
    x = 529.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.